| 非线性最小二乘参数平差的非线性规划算法研究 |
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| 引用本文： | 范东明.非线性最小二乘参数平差的非线性规划算法研究[J].西南交通大学学报,2001,36(5):476-480. |
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| 作者姓名： | 范东明 |
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| 作者单位： | 西南交通大学土木工程学院 |
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| 摘 要： | 讨论了非线性最小二乘参数平差可行的5种非线性规划算法－牛顿法、最速下降法、离散牛顿法、拟牛顿法和SQPM算法，通过分析、比较和实算证实SQPM算法是求解非线性最小二乘参数平差问题的最为有力的工具，且使SQPM算法成为无需精确计算参数概略值的非线性最小二乘参数平差法。
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| 关 键 词： | 最小二乘法 非线性规划 参数平差 牛顿法 最速下降法 离散牛顿法 拟牛顿法 |
| 文章编号： | 0258-2724(2001)05-0476-05 |
Nonlinear Programming Algorithms for Nonlinear Least Squares Adjustment by Parameters |
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| FAN Dong,ming.Nonlinear Programming Algorithms for Nonlinear Least Squares Adjustment by Parameters[J].Journal of Southwest Jiaotong University,2001,36(5):476-480. |
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| Authors: | FAN Dong ming |
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| Abstract: | Five feasible nonlinear programming algorithms dealing with nonlinear least squares adjustment by parameters are discussed. They are Newton method, speediest descending method, discrete Newton method, quasi Newton method, and sequential quadratic programming method (SQPM). It is confirmed by analysis, comparison, and computation examples that SQPM is the most powerful tool to solve the problem of nonlinear least squares adjustment by parameters, without exactly computing the approximation of parameters. |
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| Keywords: | least square methods nonlinear programming algorithms adjustment by parameters |
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